Least Common Multiple of 87/846, 92/995, 899/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/846, 92/995, 899/955 quickly i.e. 248124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/846, 92/995, 899/955 is 248124.

LCM(87/846, 92/995, 899/955) = 248124

LCM of 87/846, 92/995, 899/955

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 87/846,92/995,899/955

Given numbers are 87/846,92/995,899/955

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 87,92,899

Least Common Multiple of Numerators i.e. LCM of 87,92,899 is 248124.

GCF of Denominators means GCF of 846,995,955 as per the given fractions.

GCF of 846,995,955 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,92,899

LCM of Fractions 87/846,92/995,899/955 is 248124

29 87, 92, 899
3, 92, 31

∴ So the LCM of the given numbers is 29 x 3 x 92 x 31 = 248124

Least Common Multiple of 87,92,899 with GCF Formula

Least Common Multiple of 87,92,899 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 87,92,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,92,899) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(87,92,899) x common factors =1 x 29 = 29

LCM(87,92,899) = ( 87 × 92 × 899 ) / 29

LCM(87,92,899) = 7195596 / 29

LCM(87,92,899) = 248124


Lets's calculate GCF of 846,995,955

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248124/1

Therefore the LCM of Fractions 87/846,92/995,899/955 is 248124

Greatest Common Factor of 846,995,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,995,955 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 846,995,955 . The biggest common factor number is the GCF number.
So the greatest common factor 846,995,955 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 87/846, 92/995, 899/955

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 87/846, 92/995, 899/955?

Answer: LCM of Numerators as per given numbers 87/846, 92/995, 899/955 is

LCM of Numerators i.e. for 87,92,899 is 248124

GCF of denominators i.e. for 846,995,955 is 1.

Thus, LCM of Fractions is 248124.Finally, LCM of Fractions for 87/846, 92/995, 899/955 is 248124.